i need help who knows the answer to this You start a new job. After w weeks, you have (10w+120) dollars in your savings account and (45w+25) dollars in your checking account. Write an expression in simplest form that represents the total in both accounts.

Answers

Answer 1
55w+145 is the correct answer

Related Questions

classify this triangle​

classify this triangle

Answers

Answer:

Acyte, Scalene. please mark brainliest when its correct:)

Answer:

acute scalene

Step-by-step explanation:

The best guess is a acute scalene because the measure of the angles aren't shown. However, when you have both the measure of sides and angles, you can use the following image can help you classify triangles :

classify this triangle

I NEED HELP!!

A city receives 1 inches of snowfall every 4 hours. Write and graph a function that describes the relationship. How long does it take to receive 1 foot of snow? Use x for the independent variable and y for the dependent variable.

I NEED HELP!!A city receives 1 inches of snowfall every 4 hours. Write and graph a function that describes

Answers

Hey I was thinking of going out there for dinner tonight at dinner and then we can come in the house

if a watch costs $40 and you must pay 6.5% sales tax how much will the tax be ?

Answers

Answer:$2.60

Step-by-step explanation:40*0.065

Answer:42.06

Step-by-step explanation:

"Function 1 3 gx=-x-4 g(x) 2
Use the given interactions to edit the selected curve. -12- Cancel Save $² UP 1: Re XW Score: 83.33%,"

Answers

The new function is g(x) = x - 15.The graph of the function is given below:Therefore, the edited curve of the given function is g(x) = x - 15.

The given function is 1.3 gx=-x-4 g(x) 2. Use the given interactions to edit the selected curve. The given interactions are -12- Cancel Save $² UP 1: Re XW Score: 83.33%,We have to use these interactions to edit the selected curve. To edit the given curve, we use transformations, which can change the graph of the function. The transformations of the given function are explained below:Vertical transformation:We add or subtract the constant value of the function to change the y-intercept of the graph. If we add any constant value to the function, the graph moves up, and if we subtract any constant value from the function, the graph moves down. The given function is g(x) = -x - 4. The y-intercept of the function is -4. We can change the y-intercept by adding or subtracting the constant value of the function. The given interaction -12- moves the graph down 12 units. Therefore, the new function is g(x) = -x - 4 - 12 = -x - 16.Horizontal transformation:The graph of the function can be shifted left or right by adding or subtracting a constant to the input value.

If we add any constant value to the function, the graph moves left, and if we subtract any constant value from the function, the graph moves right. The given function is g(x) = -x - 4. The graph of the function can be shifted by using the input value. For example, if we want to move the graph 3 units to the right, we replace x with (x - 3). Then the new function becomes g(x - 3) = -(x - 3) - 4 = -x + 1.The given interaction UP 1 moves the graph up 1 unit.Therefore, the new function is g(x) = -x - 16 + 1 = -x - 15.The given interaction Re XW reflects the graph of the function across the y-axis.Therefore, the new function is g(x) = x - 15.The graph of the function is given below:Therefore, the edited curve of the given function is g(x) = x - 15.

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Point D is located at (-1, 6) on the coordinate plane. Point D is reflected over the
y-axis to create point D'. Point D'is then reflected over the r-axis to create point
D". What ordered pair describes the location of D"?

Answers

Answer:

(1, -6)

Step-by-step explanation:

After reflecting over y axis: (1, 6)

After reflecting (1, 6) over x axis: (1, -6)

I think you made a typo in your question. I think you meant "x-axis" instead of "r-axis"

For the remaining portion of the living room not covered by the new flooring, Michelle wants to paint the concrete. After carefully measuring the exposed concrete, she determines 6 square feet are already painted and the remaining unpainted area forms a square with side length x. The entire area of concrete, including the painted and unpainted portions, is a total of 31 square feet. Write an equation that could be used to find the unpainted square side length x

Answers

Answer:

\(x^2 + 6 = 31\)

Step-by-step explanation:

Given

\(Painted = 6ft^2\)

\(Total = 31ft^2\)

Dimension of unpainted area:

\(Length = Width = x\) --- Square

Required

Determine an expression to solve for x

First, calculate the area of the unpainted space;

\(Area = Length *Width\)

\(Area = x*x\)

\(Area = x^2\)

The unpainted area, added to the painted area, equals the total area.

So, we have:

\(Area + Painted = Total\)

\(x^2 + 6 = 31\)

Hence, the expression is: \(x^2 + 6 = 31\)

Answer for free NFT from me

Answer for free NFT from me

Answers

Answer:

The functions you have chosen in the picture are correct since we can do order of elimation and also if u look the same number is repeated but with a different output value

Step-by-step explanation:

What is the solution to the system of equations? 2x - 2y = -2; x + 3y = 15

Answers

Answer: x=3 and y=4

Step-by-step explanation:

Rewrite equations:

x+3y=15;2x−2y=−2

Step: Solve x+3y=15 for x:

x+3y=15

x+3y+−3y=15+−3y(Add -3y to both sides)

x=−3y+15

Step: Substitute−3y+15 for x in 2x−2y=−2:

2x−2y=−2

2(−3y+15)−2y=−2

−8y+30=−2(Simplify both sides of the equation)

−8y+30+−30=−2+−30(Add -30 to both sides)

−8y=−32

−8y over −8 = −32 over −8

(Divide both sides by -8)

y=4

Step: Substitute 4 for y in x=−3y+15:

x=−3y+15

x=(−3)(4)+15

x=3(Simplify both sides of the equation)

We have 6 books on mathematics, 3 on physics, and 1 on chemistry, and you must choose 1 book. in how many ways can you do that? (also think why the an

Answers

The number of ways that a book can be chosen from all the books can be determined by using combination.

Combination is a method of choosing items from a set in a way that order of selection does not matter. It refers to the combination of n items taken k at a time without repetition. From example, selection of food, menu, subjects, etc.

A combination is the selection of r items from a set of n items without replacement and where order is unimportant.

nCr=n!/r!(n-r)!

Where n! = 1*2*3*….*n

In the given situation, r = 1(number of books to be chosen) and n=10(total number of books)

10C1=10!/1!(10-1)!

10C1=10!/1!(9)!

10C1=(10*9!)/1!(9)!

10C1=10

The number of ways to choose a book from the ten books is 10.

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Someone Please Please Answer this (20 POINTS)

Someone Please Please Answer this (20 POINTS)

Answers

Answer:

Step-by-step explanation: Simple plug x in.

x=1

(Square root) 4 -1=1

x=6

(square root) 9 -1=2

x=13

(square root ) 16-1=3

x=1 Y=1

x=6  Y=2

x=13  Y=3

PLEASE GIVE ME BRAINLIEST THX

if the point p(-3/5, y) lies on the unit circle and p is in the second quadrant, what does y equal?

Answers

According to the distance formula, the y-coordinate of the point P is -4/5.

What is the distance formula?

The distance formula is:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points, and d is the distance between them.

We know that a point (x, y) lies on the unit circle if and only if the distance from the point to the origin is 1. In this case, the point P(-3/5, y) lies on the unit circle, so we can write:

sqrt((-3/5)^2 + y^2) = 1

Simplifying this equation, we get:

9/25 + y^2 = 1

Subtracting 9/25 from both sides, we get:

y^2 = 16/25

Taking the square root of both sides, we get:

y = ±4/5

Since the point P is in the second quadrant, its y-coordinate must be negative. Therefore, we have:

y = -4/5

So the y-coordinate of the point P is -4/5.

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A bicycle traveled 150 meters west from point a to point b. then it took the same route and came back to point a. it took a total of 2 minutes for the bycycle to return to point a. what is the average speed and average velocity of the bycle

Answers

The average speed is 300m/2min that’s 150m per minute or 2.5m per second the average velocity is zero

Consider a continuous-time Markov chain with three states 1, 2, 3, 4, 5 and transition rates q12=1, q13 = 2, q21 = 0, q23 = 3, q31 = 0, q32 = 0. (1) Write the system of ODEs for the corresponding transition probabilities Pᵢⱼ (t) . (2) Suppose that the initial state is 1. What is the probability that after the first transition, the process X(t) enters state 2?

Answers

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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What is called angle?.

Answers

When two rays intersect an angle is created, As different classification of angles are there on the basis of measurement of angles and on the basis of properties of angles.

What is definition of term "Angle" ?

When two rays or straight lines intersect at one of their ends, an angle is created. Vertex of an angle refers to the point at which two points meet. The Latin word "angulus," which means "corner," is the origin of the English term "angle."

Symbol of Angle

The symbol ∠ represents an angle. Angles are measured in the form of degrees (°) using a protractor.

For example, 45 degrees is represented as 45°

Sections of Angles

A vertex is also the corner of an angle or at the place where two lines or sides come together to intersect at the point. In the above figure, O is the vertex.Arms: The angle's two sides which are connected at a single terminal. An angle's OA and OB are its arms.Initial Side: Also known to as the reference line, this is the first side of the angle that is to be drawn. The reference line is called OB.Terminal Side: The side that the angle measured is performed up to. OA is the terminal side.

Types of Angles

Based on their measurements, here are the many types of angles:

An acute angle that measures less than 90° at the vertex of the lines.An obtuse angle measured between 90° to 180°.A right angle is exactly measures 90° at the vertex.An angle measuring precisely 180° is called a straight angle.A reflex angle is measured between 180°- 360°.A complete angle is measured is equal 360°.

Interior and Exterior Angles:

Interior angles: Interior Angles are angle formed inside the shape.

Exterior angles: Exterior angles are to be angles that is formed outside a shape, between any side of  shape and to an extended adjacent side.

Complementary and Supplementary Angles:

Complementary angles: Angles that add up to 90° (a right angle) are called complementary angles.

Supplementary angles: Angles that add up to 180° (a straight angle) are called supplementary angles.

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What is called angle?.

hii pls help i’ll give you brainliest if you give a correct answer.

hii pls help ill give you brainliest if you give a correct answer.

Answers

Answer:

Step-by-step explanation:

How many 3/8 are in 5/4? We can set this number as x. Therre are x number of 3/8 that make up 5/4:

Therefore the PART A is: x* 3/8 = 5/4

On the other hand, 5/4 / 3/8 = x (this is just the reverse of what I mentioned earlier)

I hope this helps! :)

Help me with the answer?? Answer please answer to answer ??

Help me with the answer?? Answer please answer to answer ??

Answers

We want to find the value of x, which is the hypotenuse of the triangle on the image.

We will see that the value of x is 5.77 units.

How to find the value of x?

On the figure we can see a right triangle, we want to find the value of x, which is the hypotenuse of this triangle.

To do so, we can use the trigonometric relation:

cos(θ) = (adjacent cathetus)/(hypotenuse)

Where θ is an internal angle of the triangle, and the adjacent cathetus is the cathetus that forms the angle.

Here we can use θ = 30°, and the adjacent cathetus is the one that has a measure of 5 units,  then the value of x is given by the equation:

cos(30°) = 5/x

Solving that for x we will get:

x = 5/cos(30°) = 5.77

The hypotenuse measures 5.77 units.

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Find the measure of the missing angle.

Find the measure of the missing angle.

Answers

Answer:35°

Step-by-step explanation:55+90=145   180-145=35

Answer:

a = 35

Step-by-step explanation:

Straight angle theorem state that a straight line has an angle of 180 degrees

a + 90(right angle) + 55 = 180

a = 35

Which equation should be used to calculate the 43rd partial sum for the arithmetic sequence.

Answers

Answer: First Option : Sₙ= n/2(a₁ + aₙ)

Step-by-step explanation:

The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.

It is calculated using the formula:

Sₙ= n/2(a₁ + aₙ)

Where :

a₁ = First term

aₙ = last term

n = number of terms

May you please help with this question Why do we combine like terms? A= to give work B= no answer text provided C= to make expressions shorter by simplifying D= no reason

Answers

Answer:

C; to make expressions shorter by simplifying

Step-by-step explanation:

The reason we combine like terms is to shorten our expressions so they can be easier to be simplified

In the case where we have;

3x-4x+5x + 605 = 9x+ 5x + 60x - 32x

In this case where we want to find the value of x, it is necessary and expident that we combine all the x-values together

Doing this will give us a single value of x

The single value of x can be be evaluated as against the only value which is not having x as a coefficient

Calculate the relative frequency of the data to determine which association the two-way table suggests.

A. None of the associations listed are correct.
B. Those who have a brother tend not to have a sister.
C. Those who have a brother tend to have a sister.
D. Those who do not have a brother tend not to have a sister.

Answers

The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.

The table provides information about whether individuals have a brother and a sister.

Based on the options given, let's calculate the relative frequencies to see which association is suggested:

Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)

Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)

By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.

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Determine the slope of the line.

Determine the slope of the line.

Answers

Answer:

m=1/4

Step-by-step explanation:

Start by picking two points that are clearly visible on the line: (1, -3) and (-3, -4).

The equation for slope is: m=\(\frac{y_2-y_1}{x_2-x_1}\)

Where \(x_{1}\)=1 \(x_{2}\)=-3 \(y_{1}\)=-3 \(y_{2}\)=-4

m=\(\frac{(-4)-(-3)}{(-3)-1}\)

m=-1/-4

m=1/4

point G is rotated counterclockwise about point H and by an angle of 45 degrees. if its image is G' and segment GH G'H and G'G are drawn. which of the following is true?
1. GH congruent G'H
2. GH is perpendicular to G'H
3. GH is parallel to G'H
4. H is the midpoint of segment G'G

Answers

Answer:

1. GH is congruent to G'H

67min; 1.1h. Which one is more precise

Answers

Answer:

67 mins= 1 hour and 7 minutes, 1.1 hours is 66 mins so 67 mins

Step-by-step explanation:

Calculate the difference in the proportion of males and the proportion of females that smoke. Give your answer to 2 decimal places

Answers

The difference in the proportion of males and the proportion of females that smoke is 0.08

Missing information

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

How to determine the proportion difference?

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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if z4=x3 y2, dxdt=−1, dy dt=3, and z>0, find dz dy at (x,y)=(0,4)

Answers

To find dz/dy at the point (x, y) = (0, 4) given the equations z^4 = x^3 * y^2, dx/dt = -1, dy/dt = 3, and z > 0, we need to differentiate z^4 with respect to y and substitute the given values.

Starting with the equation z^4 = x^3 * y^2, we can differentiate both sides with respect to y using the chain rule.

Taking the derivative of both sides, we have:

4z^3 * dz/dy = 2x^3 * y

Since we need to find dz/dy, we can solve the equation for dz/dy:

dz/dy = (2x^3 * y) / (4z^3)

Given that dx/dt = -1 and dy/dt = 3, we can substitute the values into the equation. At the point (x, y) = (0, 4), we have x = 0 and y = 4.

Plugging in these values, we get:

dz/dy = (2(0)^3 * 4) / (4z^3)

      = 0 / (4z^3)

      = 0

Therefore, dz/dy at the point (x, y) = (0, 4) is 0.

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plssss help me out pls ​

plssss help me out pls

Answers

Answer: y = 3x + 3

Step-by-step explanation:

Ok, so this one is positive because it is going up from left to right...

Rises 3 and runs 1. The slope is 3.

It hits the y-axis at 3. The y-intercept is 3.

2-simplifica

1)x²-5x-16

x+2=

2)6an²-3b²n²

b4-4ab²+4a²=

3)4x²-4xy+y²

5y-10x

4)n+1-n³-n²

n³-n-2n²+2=

5)17x³y4z6

34x7y8z10=

6)12a²b³

60a³b5x6=

Answers

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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How to subtract 27 minus 9.9 using mental math

Answers

Answer: you are left with 17.1 or 17.10

HOW TO:  picture this. i'ma going to go to your store and you have 27 dollars. you owe me 9.90 for some reason. you give me the money and i go on my way. how much money are you left with?

You roll a die with the sample space S=(1,2,3,4,5,6]. You define A as (1,2,4),B as [1,2,4,5,6],C as [5,6) and D as [2,3,6) Determine which of the following events are exhaustive and/or mutually exclusive

Answers

- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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the measure of an angle is 70 degree less than the measure of its supplement find its measure​

Answers

Answer:

110˚

Subtract 70 from both sides. Thus, a 70˚ angle and a 110˚ angle are supplements of one another

Step-by-step explanation:

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Which syntax error in programming is unlikely to be highlighted by a compiler or an interpreter? a variable name misspelling a missing space a comma in place of a period a missing closing quotation mark Among the four eras (or orientations) in the history of American business, the marketing concept era:a. is a continuation of the target market areab. preceded the production erac. is the same as the competitive erad. immediately followed the sales erae. occurred because the demand for products was greater than the supply of them. Iraqi leader Saddam Hussein invaded Kuwait and seized its vast oil wealth. In response, the United States launched an invasion of Iraq. what is this attack called? which of the following cells engulf antigens by phagocytosis and present fragments of them on their own surfaces for recognition? which of the following cells engulf antigens by phagocytosis and present fragments of them on their own surfaces for recognition? t lymphocytes nk cells plasma cells dendritic cells Which point is on the graph of the given equation: -4x+2y+5=-3(-6,-12)(-9,-22)(0,4)(4,0) how did the wall street journal reporters find out about the partnership agreements that enron was engaged in? based on genetic and genomic analysis, what percentage of each genome is thought to be lineage-specific? This photograph American troops landing on D day was taken by war correspondent during World War II what do you notice about this picture how does it make you feel when you see it A small ball is attached to one end of a spring that has an unstrained length of 0.269 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 2.65 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0144 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless Daniel bought a new car for 15000 he also pays A series RIC circuit has a 100-82 resistor, a 0.100-uFcapacitor, and a 2.00-mH inductor connected across a 120-V rms acsource operating at (1000/7) Hz. What is the max voltage across theinductor? What can Gram staining tell us about the membrane of the bacteria? During a test drive, a self-driving car travels a distance of 50 miles in 80 minutes. How many miles will the car travel after 320 minutes? The scale of a model airplane is 1:72. If the wingspan on the model airplane is 7.5 inches, then the wingspan of the actual airplane is how many feet? Which equation is equivalent to the equation x^2+y^2=25? Find an equation of the line parallel to y = x - 3 and that passes through the point (0,4) Which of the following scenarios is an example of a data lag?A. The economy enters a deep recession on the same day that new quarterly data show positive economic growth.B. The economy enters a deep recession and Congress passes spending on public works that will take years to plan for and build.C. The economy enters a deep recession, and Congress takes two months to approve an extensive tax cut bill.Which of the following scenarios is an example of a legislative lag?A. A new law requires that all new spending bills go through at least one month of debate before receiving a congressional vote.B. In response to a recession, Congress passes a spending bill for interstate highway upgrades that will take years to plan and complete.C. Policymakers obtain relevant economic data months after a recession has already begun. which event effectively discredited isolationism as a security policy The slope of line m is -8 which of the following are perpendicular to line m ? Select all that apply.2x-16y=2440x+5y=12-5x-40y=10x-8y=516x-2y=32 Suppose that the market demand curve is given by Q 100 -5P. a) What is the inverse market demand curve? b) What is the average revenue function for a monopolist in this market? c) What is the marginal revenue function that corresponds to this demand curve?